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23918940 = 22325831601
BaseRepresentation
bin101101100111…
…1100101011100
31200000012121200
41123033211130
522110401230
62212355500
7410210343
oct133174534
950005550
1023918940
1112557721
128015b90
134c56126
143268b5a
152177160
hex16cf95c

23918940 has 72 divisors (see below), whose sum is σ = 73474128. Its totient is φ = 6297600.

The previous prime is 23918903. The next prime is 23918959. The reversal of 23918940 is 4981932.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 23918895 and 23918904.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14140 + ... + 15740.

It is an arithmetic number, because the mean of its divisors is an integer number (1020474).

Almost surely, 223918940 is an apocalyptic number.

23918940 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23918940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36737064).

23918940 is an abundant number, since it is smaller than the sum of its proper divisors (49555188).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

23918940 is a wasteful number, since it uses less digits than its factorization.

23918940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1699 (or 1694 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 23918940 is about 4890.6993364958. The cubic root of 23918940 is about 288.1248012352.

The spelling of 23918940 in words is "twenty-three million, nine hundred eighteen thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 83 90 166 180 249 332 415 498 747 830 996 1245 1494 1601 1660 2490 2988 3202 3735 4803 4980 6404 7470 8005 9606 14409 14940 16010 19212 24015 28818 32020 48030 57636 72045 96060 132883 144090 265766 288180 398649 531532 664415 797298 1195947 1328830 1594596 1993245 2391894 2657660 3986490 4783788 5979735 7972980 11959470 23918940